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34112 = 261341
BaseRepresentation
bin1000010101000000
31201210102
420111000
52042422
6421532
7201311
oct102500
951712
1034112
11236a1
12178a8
13126b0
14c608
15a192
hex8540

34112 has 28 divisors (see below), whose sum is σ = 74676. Its totient is φ = 15360.

The previous prime is 34061. The next prime is 34123. The reversal of 34112 is 21143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 30976 = 56^2 + 176^2 .

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 34093 and 34102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 812 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (2667).

234112 is an apocalyptic number.

34112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37338).

34112 is an abundant number, since it is smaller than the sum of its proper divisors (40564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34112 is a wasteful number, since it uses less digits than its factorization.

34112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

The product of its digits is 24, while the sum is 11.

The square root of 34112 is about 184.6943420898. The cubic root of 34112 is about 32.4316512324.

Adding to 34112 its reverse (21143), we get a palindrome (55255).

It can be divided in two parts, 341 and 12, that added together give a palindrome (353).

The spelling of 34112 in words is "thirty-four thousand, one hundred twelve".